Spontaneous symmetry restoration in a field theory at finite chemical potential in a toroidal topology

Abstract

We consider the massive vector $N$-component $(\lambda {\phi }^4{)}_D$ theory defined on a Euclidean space with a toroidal topology. Using recently developed methods to perform a compactification of a $d$-dimensional subspace at finite chemical potential, we treat jointly the effects of temperature and spatial boundaries, setting forth grounds for an analysis of spontaneous symmetry restoration driven by temperature and spatial boundaries as a function of the chemical potential. We restrict ourselves to d=2, which corresponds to the heated system confined between two parallel planes (separation $L$) in dimensions D=3 and D=4. We present results, in the large-$N$ limit, which exhibit how finite size and chemical potential affect spontaneous symmetry restoration.

Revtex, 6 pages, 3 figures, Version as will be published in Phys. Rev. D

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Cited by in corpus (8)

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• Finite-size effects on the phase transition in a four- and six-fermion interaction model
• Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system
• Influence of external magnetic field, finite-size effects and chemical potential on the phase transition of a complex scalar field
• Finite size effects in the phase transition patterns of coupled scalar field systems
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0